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- Title
Cograde Conditions and Cotorsion Pairs.
- Authors
Xi TANG; Zhaoyong HUANG
- Abstract
Let R and S be rings and RωS a semidualizing bimodule. We investigate when the double functor TorSi(ω, ExtiR(ω,-)) preserves epimorphisms and the double functor ExtiR(ω,TorSi(ω,-)) preserves monomorphisms in terms of the (strong) cograde conditions of modules. Under certain cograde condition of modules, we construct two complete cotorsion pairs. In addition, we establish the relation between some relative finitistic dimensions of rings and the right and left projective dimensions of ω.
- Subjects
TORSION theory (Algebra); TORSO; CANNING &; preserving
- Publication
Publications of the Research Institute for Mathematical Sciences, 2020, Vol 56, Issue 3, p445
- ISSN
0034-5318
- Publication type
Article
- DOI
10.4171/PRIMS/56-3-2